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103054325632 = 27432647673
BaseRepresentation
bin101111111111010000…
…1000011011110000000
3100212000000220011100021
41133332201003132000
53142023401410012
6115201551503224
710305532212646
oct1377641033600
9325000804307
10103054325632
113a783531165
1217b80827b14
13994453520b
144db8969196
152a32460007
hex17fe843780

103054325632 has 96 divisors (see below), whose sum is σ = 210826741680. Its totient is φ = 50176401408.

The previous prime is 103054325629. The next prime is 103054325687. The reversal of 103054325632 is 236523450301.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153126448 + ... + 153127120.

Almost surely, 2103054325632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103054325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105413370840).

103054325632 is an abundant number, since it is smaller than the sum of its proper divisors (107772416048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103054325632 is an frugal number, since it uses more digits than its factorization.

103054325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 103054325632 its reverse (236523450301), we get a palindrome (339577775933).

The spelling of 103054325632 in words is "one hundred three billion, fifty-four million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 647 673 688 1294 1346 1376 1849 2588 2692 2752 3698 5176 5384 5504 7396 10352 10768 14792 20704 21536 27821 28939 29584 41408 43072 55642 57878 59168 82816 86144 111284 115756 118336 222568 231512 236672 435431 445136 463024 870862 890272 926048 1196303 1244377 1741724 1780544 1852096 2392606 2488754 3483448 3561088 3704192 4785212 4977508 6966896 9570424 9955016 13933792 18723533 19140848 19910032 27867584 37447066 38281696 39820064 55735168 74894132 76563392 79640128 149788264 153126784 159280256 299576528 599153056 805111919 1198306112 1610223838 2396612224 3220447676 6440895352 12881790704 25763581408 51527162816 103054325632